Numerical Solution to Laplace's Equation in Spherical Coordinates with Axial Symmetry
作者:
P. S. Hoeper,
Robert S. Wenstrup,
期刊:
Journal of Applied Physics
(AIP Available online 1970)
卷期:
Volume 41,
issue 5
页码: 1879-1882
ISSN:0021-8979
年代: 1970
DOI:10.1063/1.1659137
出版商: AIP
数据来源: AIP
摘要:
A numerical method for solving Laplace's equation in spherical coordinates for an axially symmetric geometry has been developed. Dirichlet boundary conditions on a closed surface yield a set of difference equations. The method of successive overrelaxation has been employed to find solutions to those equations. Application of the method is illustrated by finding the field configuration in a new type of electron gun used in a spherical electron monochromator.
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